(-13)2+56(-25)

Use the power rule (ab)n=anbn to distribute the exponent.

Apply the product rule to -13.

(-1)2(13)2+56⋅(-25)

Apply the product rule to 13.

(-1)21232+56⋅(-25)

(-1)21232+56⋅(-25)

Raise -1 to the power of 2.

11232+56⋅(-25)

Multiply 1232 by 1.

1232+56⋅(-25)

One to any power is one.

132+56⋅(-25)

Raise 3 to the power of 2.

19+56⋅(-25)

Cancel the common factor of 5.

Move the leading negative in -25 into the numerator.

19+56⋅-25

Cancel the common factor.

19+56⋅-25

Rewrite the expression.

19+16⋅-2

19+16⋅-2

Cancel the common factor of 2.

Factor 2 out of 6.

19+12(3)⋅-2

Factor 2 out of -2.

19+12⋅3⋅(2⋅-1)

Cancel the common factor.

19+12⋅3⋅(2⋅-1)

Rewrite the expression.

19+13⋅-1

19+13⋅-1

Combine 13 and -1.

19+-13

Move the negative in front of the fraction.

19-13

19-13

To write -13 as a fraction with a common denominator, multiply by 33.

19-13⋅33

Multiply 13 and 33.

19-33⋅3

Multiply 3 by 3.

19-39

19-39

Combine the numerators over the common denominator.

1-39

Subtract 3 from 1.

-29

Move the negative in front of the fraction.

-29

The result can be shown in multiple forms.

Exact Form:

-29

Decimal Form:

-0.2‾

Evaluate (-1/3)^2+5/6(-2/5)